Inference Use the example in the picture to solve this.  Given the premises: If the steak is well done, it’s overcooked. If the steak is overcooked, the fire alarm will go off. Either the batteries have been changed or the fire alarm will not go off. The batteries have only been changed if the ladder is in the room. The ladder is not in the room. Conclude that the steak is not well done. These premises don’t make sense in the real world. Why? How can you change the premises so that they make sense in the real world? (They don’t have to end up perfectly correct, but they need to avoid the obvious problems you uncover in part B.) Show step by step how to solve this. Thank you in advanced!

Database System Concepts
7th Edition
ISBN:9780078022159
Author:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan
Publisher:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan
Chapter1: Introduction
Section: Chapter Questions
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Inference

Use the example in the picture to solve this.

    1.  Given the premises:
      1. If the steak is well done, it’s overcooked.
      2. If the steak is overcooked, the fire alarm will go off.
      3. Either the batteries have been changed or the fire alarm will not go off.
      4. The batteries have only been changed if the ladder is in the room.
      5. The ladder is not in the room.

Conclude that the steak is not well done.

  1. These premises don’t make sense in the real world. Why?
  2. How can you change the premises so that they make sense in the real world? (They don’t have to end up perfectly correct, but they need to avoid the obvious problems you uncover in part B.)

Show step by step how to solve this. Thank you in advanced!

Breaking down into symbolic notation:
p: fish can fly
q: birds can swim
r: squirrels can talk
s: capybaras can write
Then we have premises:
1. p q
2.
qr
3. (q^r) → s
4. P
P
: (1) q
7
Premise 4
Premise 1, modus ponens
Premise 2, modus ponens
q^r (1), conjunction
modus ponens
S
Transcribed Image Text:Breaking down into symbolic notation: p: fish can fly q: birds can swim r: squirrels can talk s: capybaras can write Then we have premises: 1. p q 2. qr 3. (q^r) → s 4. P P : (1) q 7 Premise 4 Premise 1, modus ponens Premise 2, modus ponens q^r (1), conjunction modus ponens S
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